Academic literature on the topic 'Beam with non-rigid fixing ends'
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Journal articles on the topic "Beam with non-rigid fixing ends"
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Trapezon, Kirill, and Alexandr Trapezon. "Analytical study of the natural bending oscillations of a concave beam with parabolic change in thickness." Eastern-European Journal of Enterprise Technologies 3, no. 7 (111) (2021): 15–23. http://dx.doi.org/10.15587/1729-4061.2021.230820.
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The synthesis of factorization and symmetry methods produced a general analytical solution to the fourth-order differential equation with variable coefficients. The form and structure of the variable coefficients correspond, in this case, to the problem of the oscillations of a concave beam of variable thickness. The solution to this equation makes it possible to study in detail the oscillations of such and similar, for example convex, beams at the different fixation of their ends' sections. A practical confirmation has been obtained that the beam whose thickness changes in line with the concave parabola law H=a2x2+1, where a is the concave factor, demonstrates an increase in the natural frequencies of its free oscillations with an increase in its rigidity. As an example, the object's maximum deflection dependence on the beam rigidity factor has been established. The nature of this dependence confirmed the obvious conclusion that the deflections had decreased while the rigidity had increased. The evidence from the calculation results can be a testament to the correctness of the reported procedure of problem-solving. The considered problem and the analytical solution to it could serve as a practical guide to the optimal design of beam structures. In this case, it is very important to take into consideration the place and nature of the distribution of cyclical extreme operating stresses. The resulting ratios to solve the problem make it possible to simulate the required normal stresses in both the fixation and central zones when the rigidity parameter is changed. Designers could predict such a parabolic profile of the beam, which would ensure the required reduction of maximum stresses in the place of fixing the beam. The considered example of solving the problem of the natural oscillations of the beam with rigid fixation of the ends illustrates the effectiveness of the factoring and symmetry methods used. The developed solution algorithm could be extended to study the natural bending oscillations of the beam at other fixing techniques, not excluding a variant of a completely free beam
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Radchenko, V. P., O. S. Afanaseva, and V. E. Glebov. "The effect of surface plastic hardening technology, residual stresses and boundary conditions on the buckling of a beam." PNRPU Mechanics Bulletin, no. 1 (December 15, 2020): 87–98. http://dx.doi.org/10.15593/perm.mech/2020.1.07.
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The complex influence of the surface plastic hardening technology, residual stresses, and boundary conditions on the bending of a hardened beam of EP742 alloy was performed. A phenomenological method of restoring the fields of residual stress and plastic deformations performed by its experimental verification in the particular case of ultrasonic hardening is given. The correspondence of the calculated and experimental data for the residual stresses is observed. For assess the influence of the formed residual stresses on convex cylinders, the calculation methods are used for initial strains based on using analogies between the initial (residual) plastic strains and temperature strains in an inhomogeneous temperature field. This allowed us to reduce the consideration of the problem to the problem of thermoelasticity, which was further solved by numerical methods. The effect of four types of boundary conditions for fixing the ends of the beams (rigid fastening and articulation of the ends and ribs in various combinations, cantilever) on the shape and size of the bending of the beam 10×10×100 mm after ultrasonic hardening is studied in detail. It was found that the minimum deflection is observed with a hard seal of both ends of the beam. The effect of the thickness of the beam, which varied from 2 to 10 mm, on their buckling under the same distribution of residual stresses in the hardened layer was studied, and the nonlinear nature of the increase in the deflection boom with decreasing thickness for all types of boundary conditions was established. It is shown that under all boundary conditions, the curvature along the length of the beam practically does not change, therefore it can be considered constant. The consequence of this is the preservation of the hypothesis of flat sections after the hardening procedure, which is confirmed by the calculated profile of the beam section in plane symmetry, close to a straight line. The influence of the anisotropy of surface plastic hardening on the buckling of the beam was found to be significant, which can serve as the basis for choosing the optimal hardening procedure. The performed parametric analysis of the task is presented in the form of graphical and tabular information on the results of the calculations.
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Vasyl, Olshanskiy, Burlaka Volodymyr, and Slipchenko Maksym. "PULSE BENDED BEAM WITH BINARY BOUNDARY CONDITIONS." Vibrations in engineering and technology, no. 4(95) (November 20, 2019): 16–23. http://dx.doi.org/10.37128/2306-8744-2019-4-2.
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A theoretical study of the movement of a beam with binary boundary conditions at a short-term pulsed load is carried out in the article. The non-stationary oscillations of the beam, caused by short-term force loading, are evenly distributed along its length. Beam movement is considered in two stages. It is assumed that the conditions for fixing the ends of the beam are associated with the direction (sign) of their rotation when the beam is bending. It is assumed that under the action of the load, the edges of the beam are rigidly clamped, that is, the angles of their rotation are equal to zero, and after unloading and changing the sign of the curvature of the beam they become pivotally supported in cylindrical hinges. According to the second boundary conditions, the free oscillation of the beam passes. Due to the use of the method of compensating loads, the analytical part of the isolation is expressed in rows of sines. Since the system has an asymmetric elastic characteristic with respect to the position of static equilibrium, the method of adding solutions is used to achieve this goal. As a result, the calculation is reduced to the numerical solution of the Volterra type integral equation on a computer. In addition, an approximation is proposed, which gives simpler calculation formulas than a piecewise linear approximation. The proposed approximation allows us to calculate the value of the boundary moments and obtain the formula for the beam deflections. Numerical analysis showed that for certain durations of force loading, the beam deflection amplitude with pinched edges in the direction of the external impulse is less than the deflection amplitude in the opposite direction during the movement of the unloaded beam with hinged edges. This dynamic effect is characteristic of systems with an asymmetric characteristic of elasticity, which occurs when a binary fixing of the edges of the beam or when it is supported by unilateral elastic supports. Formulas are derived by which it is possible to calculate the time when the effect of asymmetry will be most clearly expressed, and also in which case it will be absent. Numerical results confirming the adequacy of the proposed dependencies are presented.
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Kuznetzov, О., О. Rubanenko, О. Khrenov, and E. Rafalskiy. "RESERVE CAPACITY OF LONGITUDINAL BEAM OF WAGON TRUCK UNDER THE ACTION OF UNIFORMLY DISTRIBUTED LOADING." Municipal economy of cities 1, no. 154 (2020): 50–56. http://dx.doi.org/10.33042/2522-1809-2020-1-154-50-56.
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Priority directions and measures among the main branches of urban electric transport are resource saving in the subway transportation system during its operation. First of all, this problem must be solved by scientific support, that is, at the stage of designing parts and components of vehicles. One of the main tasks that are solved at the design stage is to increase the load-bearing capacity of the parts by analyzing their stress-strain state. The article is devoted to the calculation of the load capacity reserve of the longitudinal beam of the front subway trolley under the action of evenly distributed over the entire length of the load without taking into account the transverse forces. The priority of the research topic is substantiated, the purpose and tasks are formulated. Two approaches to the power calculation of the bearing capacity of the longitudinal beam are introduced: the calculation of the permissible stresses and the limit state. In both cases elastic models of beams are considered. In the case of calculation on the limit state, the mechanics of the occurrence of plastic hinges at the places of rigid fixing of the ends of the beam are first substantiated. The beam still retains its load capacity. With the further growth of the external load, the emergence of a plastic hinge is justified even in the middle of the beam with the simultaneous loss of the beam of the bearing capacity. To simulate the behavior of the beam according to its characteristics, including the stress and the degradation condition of its load capacity, the mathematical formulation of the problem of calculating the load capacity of the longitudinal beam when calculating the permissible stresses and the limit state without taking into account the transverse force. The load-bearing capacity of the longitudinal beam in the calculation of permissible stresses and the limit state is analyzed. The analysis of the obtained results allows us to judge the effectiveness of the proposed mathematical model as a whole. The obtained equations for the maximum allowable load when calculating the limit state and the allowable stresses allow us to reliably estimate the bearing capacity of the longitudinal beam in both cases. The increase in the bearing capacity of the beam in the case of calculation on the limit is three times. The conclusions about the adequacy of the analysis of the bearing capacity of the longitudinal beam bearing capacity were made. Keywords: resource saving, beam, bearing capacity, allowable stresses, limit state.
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Wang, Fan, and Xing Wang. "Tangent Stiffness Matrix of Single-Layer Reticulated Shell’s Members with Rigid Ends." Advanced Materials Research 479-481 (February 2012): 1997–2000. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.1997.
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In the paper, the axial stiffness and bending stiffness of single-layer reticulated shell’s joint are considering together, non-linear beam-column element with rigid springs and rigid ends is taken as the analysis model of members of single-layer reticulated shell, a tangent stiffness matrix of members of single-layer reticulated shell considering joint’s stiffness is derived on the basis of the beam-column theory. In this matrix, not only coupling effects of bending in two axes but also joint’s stiffness and joint’s size are considered, not only the effect of axial force on bending but also the effect of axial force on torsion are considered. All higher order terms in the displacement function are considered. So this matrix is perfect and more precise than the tangent stiffness matrix from C.Oran, and this model can be suited to the non-linear stablity analysis of single-layer reticulated shell.
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Pyatetska, O. "Numerical-analytic solution of the problem about the damping isothermal vibrations of viscoelastic rectangular plates." Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, no. 3 (2018): 77–80. http://dx.doi.org/10.17721/1812-5409.2018/3.11.
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The damping of vibrations of rectangular plates by means of both viscoelastic layers and using piezoelectric inclusions is considered. For modeling viscoelastic properties of passive and piezoelectric materials, linear models of integral type viscoelasticity are used, which are most effective for simulating the dissipative properties of materials in the linear region. In the case of taking into account the influence of the piezoelectric inclusions on the rigid characteristics of the passive plate and in other types of boundary conditions (for example, with rigid fixing of the ends), the finite element method was used to solve the problem of damping. The solutions of concrete problems of damping of stationary and non-stationary vibrations of plates using analytical and finite element methods are given. On the basis of the aforementioned approach, algorithms for solving dynamical problems with both fully and partially electrodes are implemented.
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Corina, Moldovan. "Geometric Non-Linear Approach to Stiffness State of Semi–Rigid Structures." Journal of Applied Engineering Sciences 6, no. 1 (2016): 63–70. http://dx.doi.org/10.1515/jaes-2016-0009.
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Abstract Present contribution intends to emphasize the contribution of geometric non-linearity to the stiffness state of semi-rigid multi–storey steel structures. Though semi-rigidity of beam – column connections involves a nonlinearity at constitutive bending momentrelative rotation level, the geometric nonlinearity associated to deformed conFigure uration at element level is less referred to. The main objective of the study is to express the stiffness state of geometric non-linear elements semi-rigidly connected at its ends. Stiffness state is, in its term, expressed by element level stiffness matrix considering the six degrees of freedom of the planar element. Regarding the reference system, both local and global systems are employed allowing a simple and direct transition from element level vectorial relations to their structural level forms. The three fundamental vectorial relations (static equilibrium, kinematic compatibility, material constitutivity) emphasize that the principle of virtual work holds in the case of semi-rigidly connected skeletal structures as well.
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Wang, Xing. "Elememt Stiffness Matrix of Members of Reticulated Shell with End Springs." Applied Mechanics and Materials 94-96 (September 2011): 289–92. http://dx.doi.org/10.4028/www.scientific.net/amm.94-96.289.
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In this paper, a tangent stiffness matrix of members with end springs of reticulated shell is derived on the basis of Timoshenko’s beam-column theory. In this matrix, joint’s axial stiffness and bending stiffness are considering together, non-linear beam-column element with end springs and rigid ends is taken as the analysis model of members of reticulated shell. In this matrix, not only coupling effects of bending in two axes but also joint’s stiffness and joint’s size are considered, not only the effect of axial force on bending but also the effect of axial force on torsion are considered. Higher order terms in the displacement function are considered. So this matrix is perfect and more precise than Oran’s tangent stiffness matrix. An example of a single layer reticulated shell is provided, which verified the correctness and good accuracy of the present model, and this model can be suited to the non-liner stablity analysis of reticulated shell.
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Vega-Posada, Carlos A., Edwin F. Garcia-Aristizabal, and Julio C. Saldarriaga-Molina. "Simplified Analytical Solution for Tapered Circular Elements on Homogeneous or Non-homogeneous Soil." Journal of Physics: Conference Series 2047, no. 1 (2021): 012003. http://dx.doi.org/10.1088/1742-6596/2047/1/012003.
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Abstract This paper presents a simplified method to examine the response of circular tapered Euler-Bernoulli beam-columns. The Di˙erential Transformation Method (DTM) is implemented to solve the di˙erential equation (DE) that governs the response of the element. When conventional analytical approaches (i.e., discrete or continuum approaches) are used to solve the DE, and because of the introduction of the non-uniform cross-section and the soil non-homogeneity, the analysis becomes rather di˚cult and the solution complex to obtain. Here, the rather complex DE and corresponding boundary conditions (B.Cs.) are expressed as a system of linear algebraic expressions which solution is readily available. The proposed formulation includes the e˙ects of i) semi-rigid connections and lateral restraints at the ends of the element, ii) an external transverse load, iii) flexible and short elements, iv) soil/element sti˙ness, and v) an elastic homogeneous or non-homogeneous Pasternak soil. Both static and buckling analysis can be carried out using the same formulation.
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Zhang, Cheng Guang, and Yi Wang. "Design of Remote Monitoring System of Robot Based on FPGA." Key Engineering Materials 522 (August 2012): 654–58. http://dx.doi.org/10.4028/www.scientific.net/kem.522.654.
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In the current monitoring system, for the monitoring sites (such as storage, home, radioactive places and other harmful places), no dead ends and comprehensive monitoring is completed by installing a large number of fixed cameras and hiring many security persons to achieve, a lot of cameras installed are complicated; expensive and wasting a lot of manpower and material resources. Meanwhile, the fixed camera monitoring is just rigid; no early warning functions and requiring the security persons to be on duty all the time. At the same time, the records of on-site monitoring need to be large capacity storage medium. Therefore, to solve the problems of above in practical, we design an intelligent network monitoring system which is a set of non-dead mobile monitoring; automatic warning; automatic voice alerting; automatic storage of suspicious scene. By fixing the cameras; wireless routers; GPRS module; voice module and power management modules, with the Altera DE2 board to build a wheeled robot. The wheeled robot realizes the real-time monitoring of unmanned sites and solves the issues of complex installing and adverse monitoring to a large extent.
Dissertations / Theses on the topic "Beam with non-rigid fixing ends"
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Негрич, М. П. "Періодична крайова задача для рівняння руху балки із нежорстким закріпленням кінців". Thesis, Сумський державний університет, 2017. http://essuir.sumdu.edu.ua/handle/123456789/65390.
Full textConference papers on the topic "Beam with non-rigid fixing ends"
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Mancini, Federica, Heikki Remes, and Jani Romanoff. "A Stress Magnification Factor for Plates With Welding-Induced Curvatures." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18094.
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Abstract The fatigue strength of thin-walled structures can be reduced significantly by non-linear secondary bending effects resulting from geometrical imperfections such as axial and angular misalignments. The welding-induced distortions can cause a critical increase of the structural hot-spot stress in the vicinity of the weld. Traditionally, the classification society rules for the fatigue strength assessment of welded ship structures suggest an analytical formula for a stress magnification factor km for axial and angular misalignment under axial loading condition. Recently, the well-known analytical solution for the angular misalignment has been extended to account for the curvature effect. The present paper analyses the effect of non-ideal, intermediate boundary conditions between fixed and pinned ends. In this regard, the fixity factors ρ (with 0 ≤ ρ ≤ 1 from ideally pinned to clamped conditions) are introduced in order to model the actual constraint on the rotation close to the ends. Under tension, a non-negligible decrease of the km factor is observed in relation to the reduction of the fixity factor at the welded end, while the fixity factor related to the loaded end has a minor effect on the km factor. Under compression, the reduction of the beam end fixity factors results into lower buckling resistance.
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Ciutina, Adrian, Cristian Vulcu, and Rafaela Don. "Semi-continous beam-to-column joints for slim-floor systems in seismic zones." In 12th international conference on ‘Advances in Steel-Concrete Composite Structures’ - ASCCS 2018. Universitat Politècnica València, 2018. http://dx.doi.org/10.4995/asccs2018.2018.7199.
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The slim-floor building system is attractive to constructors and architects due to the integration of steel beam in the overall height of the floor, which leads to additional floor-to-floor space, used mostly in acquiring additional storeys. The concrete slab offers natural fire protection for steel beams, while the use of novel corrugated steel sheeting reduces the concrete volume, and replaces the secondary beams (for usual spans of steel structures). Currently the slim-floor solutions are applied in non-seismic regions, and there are few studies that consider continuous or semi-continuous fixing of slim-floor beams. The present study was performed with the aim to develop reliable end-plate bolted connections for slim-floor beams, capable of being applicable to buildings located in areas with seismic hazard. It is based on numerical finite element analysis, developed in two stages. In a first stage, a finite element numerical model was calibrated based on a four point bending test of a slim-floor beam. Further, a case study was analysed for the investigation of beam-to-column joints with moment resisting connections between slim-floor beams and columns. The response was investigated considering both sagging and hogging bending moment. The results are analysed in terms of moment-rotation curve characteristics and failure mechanism.
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Jindal, Rahul, and Nabanita Datta. "Free Dry and Wet Vibration of 2-Way Tapered Hollow Marine Rudder With Non-Classical Pivot: Theoretical Study." In ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/omae2015-41106.
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A theoretical analysis of free dry and wet vibration of a trapezoidal, 2-way tapered, marine spade rudder, is presented. The rudder is considered as a hollow Kirchhoff’s plate, with the chord section as a NACA profile. The chord length and the thickness taper from the top to the bottom, over the vertical span. The rudder is pivoted at the top, with the pivot behind the leading edge. The pivot is modeled as a combination of a translational and a rotational spring, in order to include the rigid body modes of the rudder vibration. The span-wise and chord-wise non-uniform beam vibration is first analyzed by the Rayleigh-Ritz method, in order to establish the non-uniform beam mode shapes. The span-wise beam is a linearly tapered vertical cantilever, with non-classical edge at the top and free at the bottom. The chord-wise section is a 2-span beam with the ends free, and four continuity conditions at the pivot. The non-uniform mode shapes, in either direction, are a weighted summation of the uniform beam mode shapes, which also satisfy the boundary/continuity conditions. They now act as admissible spatial functions to the plate vibration, which is analyzed by the Galerkin’s method. Eigenvalue analysis generates the plate natural frequencies. A weighted superposition, of the product of the beam mode shapes, in either direction, generates the plate mode shapes. Alternately, uniform beam mode shapes are used as admissible functions into the Galerkin’s method for the plate natural frequencies and mode shapes. The natural frequencies are generated for various positions of the rudder stock along the chord length. The pivot conditions (in both translational and rotational rigid body degree of freedom) influence the prominence of the rigid body mode shapes. The natural frequencies are analyzed for various pivot fixities, taper ratios, and aspect ratios of the plate. This is followed by the wet vibration analysis of the rudder. First, 2D strip theory is used to generate the added mass of each chord section. Constant strength source distribution technique is used to generate the added mass in sway and yaw of a 2D aerofoil. Each flexural and torsional mode is associated with its own added mass. Various empirical corrections are done to account for the 3D flow. Finally, 3D panel method is used to generate the modal added masses, and hence the wet natural frequencies. The added mass coefficient is generated for various aerofoil fineness ratios, pivot fixities, taper ratios, and aspect ratios of the plate.